HOW Many fights have you been in since you been here at century JESSICA NESTOR & JACKQUELINE RENTERIA PERIOD:06 2011-2012
California Standards 8.0: Students organize and describe distribution of data by using a number of different methods, including frequency tables, histograms, standard line and bar graphs, stem-and-leaf displays, scatterplots, and box-and-whisper plots. 17.0: Students determine confidence intervals for a simple random sample from a normal distribution of data and determine the sample size required for a desired margin of error. 18.0: Students determine the P-value for a statistic for a sample random sample for a normal distribution.
Hypothesis We believe that during four years here at Century High School, an average amount of fights for a student would be around two fights.
Data Collection Random, we asked random people that we saw walking around the campus. We asked a total of forty people. We collected our data by walking around the campus and we asked forty Century students.
Data Number of times students got into fights. 7,2,3,6,6,0,1,1,1,0,3,2,5,2,0,6,7,3,9,4,3,3,4,2,2,1,6,5,1,2,0,2,2,1,6,4,2,0,0,3
Histogram
Statistics From our survey the average amount of fights is 3.97 fights with sample standard deviation 4.51.
Hypothesis Testing I believe the average amount of fights is two. At 5% level significance, we failed to reject the There is enough evidence to support our claim.
Confidence Interval 95% Confidence Interval Z-Interval (2.2124,3.6376) We are 95% confident that the average amount of fights a student who attends four years here at Century will get into is between 2.2124 to 3.6376.
Conclusion We hypothesis that the average fights that Century High School students who attend four years here at Century are involved in is 3 times. In our survey of 40 centurions, we found the sample mean of 3.97 Times with a standard deviation of 4.51 times. We conclude that the population mean for all centurions is between 2.21 times to 3.63 times with 95% confidence. We test our initial hypothesis with 5% level of significance, and confirm our hypothesis is correct.
ERROR ANALYSIS Our sample mean is 3.97 fights and the 95% Confidence level for the population mean is between 2.2124 To 3.6376 THE marginal error is about .34 fights. OUR SAMPLE ERROR IS DUE TO POSSIBLE UNDERREPRESENTATION OF THE POPULATION . We might need to take more samples due to the teacher absences people fail to check their survey in the e-mail